MATH SOLVE

4 months ago

Q:
# suppose a 5 minute overseas call costs $5.91and a 10 minute call costs $10.86. The cost of the call and the length of the call are related. The cost of each minute is constant.β

Accepted Solution

A:

Answer: C=0.96 + 0.99 tStep-by-step explanation:Let the cost of the call (C) and the time of call (t) are related by the relation Β C = a + bt ......(1)
Hence, the fixed cost for every call is a and the cost of the call per minute b is added to this.
Now, given that, 5 minutes call costs $5.91 and the 10 minutes call costs $10.86.
Therefore, from equation (1), we get Β 5.91 = a + 5b ....... (2) and Β 10.86 = a + 10b ....... (3)
Now, solving equation (2) and (3) we get, 5b = 4.95 , β b =0.99
Hence, from equation (2), we get, a = 5.91 - 5Γ0.99 = 0.96.
Therefore, the relation between time of the call and the cost of call is given by C=0.96 + 0.99 t (Answer)